Some Unitary Operators on Hoop-algebras
In this paper, we introduce the notions of multiplier, ⊙-closure operator and modal operator on hoop-algebras. After that, we investigate some algebraic properties of multiplier, ⊙-closure operator and modal operator on hoop-algebras. Then we study relationships between multiplier and closure operat...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Tsinghua University Press
2017-06-01
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| Series: | Fuzzy Information and Engineering |
| Subjects: | |
| Online Access: | http://www.sciencedirect.com/science/article/pii/S1616865817301425 |
| _version_ | 1797712009236578304 |
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| author | R. Tayebi Khorami A. Borumand Saeid |
| author_facet | R. Tayebi Khorami A. Borumand Saeid |
| author_sort | R. Tayebi Khorami |
| collection | DOAJ |
| description | In this paper, we introduce the notions of multiplier, ⊙-closure operator and modal operator on hoop-algebras. After that, we investigate some algebraic properties of multiplier, ⊙-closure operator and modal operator on hoop-algebras. Then we study relationships between multiplier and closure operator on hoop-algebras showing that, any monotone modal operator on hoop-algebra serves as a closure operator. Finally we represent image of hoop-algebra under the closure operator can be a hoop-algebra. |
| first_indexed | 2024-03-12T07:14:22Z |
| format | Article |
| id | doaj.art-90a2b91263e04281b611f59b98a98936 |
| institution | Directory Open Access Journal |
| issn | 1616-8658 |
| language | English |
| last_indexed | 2024-03-12T07:14:22Z |
| publishDate | 2017-06-01 |
| publisher | Tsinghua University Press |
| record_format | Article |
| series | Fuzzy Information and Engineering |
| spelling | doaj.art-90a2b91263e04281b611f59b98a989362023-09-02T22:53:28ZengTsinghua University PressFuzzy Information and Engineering1616-86582017-06-019220522310.1016/j.fiae.2017.06.005Some Unitary Operators on Hoop-algebrasR. Tayebi Khorami0A. Borumand Saeid1Department of Mathematics, Ahvaz Branch, Islamic Azad University, Ahvaz, IranDepartment of Pure Mathematics, Faculty of Mathematics and Computer, Shahid Bahonar University of Kerman, Kerman, IranIn this paper, we introduce the notions of multiplier, ⊙-closure operator and modal operator on hoop-algebras. After that, we investigate some algebraic properties of multiplier, ⊙-closure operator and modal operator on hoop-algebras. Then we study relationships between multiplier and closure operator on hoop-algebras showing that, any monotone modal operator on hoop-algebra serves as a closure operator. Finally we represent image of hoop-algebra under the closure operator can be a hoop-algebra.http://www.sciencedirect.com/science/article/pii/S1616865817301425Hoop-algebraMultiplier⊙-closure operatorModal operatorHomomorphism |
| spellingShingle | R. Tayebi Khorami A. Borumand Saeid Some Unitary Operators on Hoop-algebras Fuzzy Information and Engineering Hoop-algebra Multiplier ⊙-closure operator Modal operator Homomorphism |
| title | Some Unitary Operators on Hoop-algebras |
| title_full | Some Unitary Operators on Hoop-algebras |
| title_fullStr | Some Unitary Operators on Hoop-algebras |
| title_full_unstemmed | Some Unitary Operators on Hoop-algebras |
| title_short | Some Unitary Operators on Hoop-algebras |
| title_sort | some unitary operators on hoop algebras |
| topic | Hoop-algebra Multiplier ⊙-closure operator Modal operator Homomorphism |
| url | http://www.sciencedirect.com/science/article/pii/S1616865817301425 |
| work_keys_str_mv | AT rtayebikhorami someunitaryoperatorsonhoopalgebras AT aborumandsaeid someunitaryoperatorsonhoopalgebras |